Electrothermomechanical behavior of a radially polarized rotating functionally graded piezoelectric cylinder

A hollow circular cylinder made of exponentially graded piezoelectric material, such as PZT_4, is considered.Loading is composed of internal and external pressures, a distributed temperature field due to steady state heat conduction with convective boundary condition, an inertia body force due to rotation with constant angular velocity and a constant electric potential difference between its inner and outer surfaces.The material properties except Poisson's ratio and thermal conduction coefficient are assumed to be exponentially distributed along radius.The governing equation in polarized form is shown to reduce to a second-order ordinary differential equation with variable coefficients for the radial displacement.In this article, a closed form solution is presented for this ODE by employing hypergeometric functions such as Whittaker's M and W functions.Also we have considered four different sets of boundary conditions.The electrothermomechanical induced stresses and the electric potential distributions are investigated for the piezoceramic PZT_4 cylinder.It is concluded that the inhomogeneity exponent µ plays a substantial role in radial and circumferential stress distributions.Therefore, the results of this investigation can contribute to the design of EGPM rotating thick-walled circular cylinders.A list of symbols can be found on page 881.